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103132032 = 273268573
BaseRepresentation
bin1100010010110…
…10101110000000
321012001122112220
412021122232000
5202400211112
614122251040
72361415323
oct611325600
9235048486
10103132032
1153240693
122a656a80
131849c293
14d9a87ba
1590c298c
hex625ab80

103132032 has 32 divisors (see below), whose sum is σ = 273945480. Its totient is φ = 34377216.

The previous prime is 103132027. The next prime is 103132037. The reversal of 103132032 is 230231301.

It is an interprime number because it is at equal distance from previous prime (103132027) and next prime (103132037).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133903 + ... + 134670.

Almost surely, 2103132032 is an apocalyptic number.

103132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103132032 is an abundant number, since it is smaller than the sum of its proper divisors (170813448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103132032 is an equidigital number, since it uses as much as digits as its factorization.

103132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268590 (or 268578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103132032 is about 10155.3942316387. The cubic root of 103132032 is about 468.9550225627.

Adding to 103132032 its reverse (230231301), we get a palindrome (333363333).

The spelling of 103132032 in words is "one hundred three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 268573 537146 805719 1074292 1611438 2148584 3222876 4297168 6445752 8594336 12891504 17188672 25783008 34377344 51566016 103132032